Question Number 11748 by tawa last updated on 30/Mar/17 $$\mathrm{Solve}\:\mathrm{simultaneously} \\ $$$$\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{4y}^{\mathrm{2}} \:+\:\mathrm{xy}\:=\:\mathrm{6}\:\:\:\:\:…………..\:\mathrm{equation}\:\left(\mathrm{i}\right) \\ $$$$\mathrm{3x}^{\mathrm{2}} \:+\:\mathrm{8y}^{\mathrm{2}} \:=\:\mathrm{14}\:\:\:\:\:\:\:\:\:\:\:…………..\:\mathrm{equation}\:\left(\mathrm{ii}\right) \\ $$ Answered by mrW1 last updated…
Question Number 11741 by uni last updated on 30/Mar/17 $$\int\mathrm{xtan}^{\mathrm{2}} \:\mathrm{x}\:\mathrm{dx}=? \\ $$ Answered by mrW1 last updated on 30/Mar/17 $$\int{x}\mathrm{tan}^{\mathrm{2}} \:{x}\:{dx}=\int\mathrm{tan}^{\mathrm{2}} \:{x}\:{d}\left(\frac{{x}^{\mathrm{2}} }{\mathrm{2}}\right) \\…
Question Number 142814 by mathdanisur last updated on 05/Jun/21 Commented by mr W last updated on 05/Jun/21 $${what}\:{do}\:{you}\:{mean}\:{with}\:{F}={R}\centerdot{EF}? \\ $$ Commented by mathdanisur last updated…
Question Number 11714 by Nayon last updated on 30/Mar/17 $${Solve}\:{the}\:{Crazy}\:{equation}… \\ $$$${x}\left({lnx}\right)^{\mathrm{2}} +{xlnx}−\mathrm{1}=\mathrm{0} \\ $$ Commented by mrW1 last updated on 30/Mar/17 $$\mathrm{ln}\:{x}=\frac{\sqrt{\mathrm{1}+\frac{\mathrm{4}}{{x}}}−\mathrm{1}}{\mathrm{2}}\:\: \\ $$$${I}\:{don}'{t}\:{think}\:{there}\:{is}\:{an}\:{analytical}…
Question Number 11707 by Nayon last updated on 30/Mar/17 $$ \\ $$$$ \\ $$$${ax}^{\mathrm{3}} +{bx}^{\mathrm{2}} +{cx}+{d}=\mathrm{0} \\ $$$${pls}.\:{solve}\:{it}\:{in}\:{a}\:{alzebric}\:{way}\:, \\ $$$${that}\:{a}\:{O}\:{level}\left({ssc}\right)\:{student}\:{can} \\ $$$${understand}… \\ $$$$ \\…
Question Number 77219 by john santu last updated on 04/Jan/20 $${if}\:\mathrm{log}_{\mathrm{9}} \left({a}\right)=\mathrm{log}_{\mathrm{4}} \left({a}+{b}\right)=\mathrm{log}_{\mathrm{6}} \left({b}\right)\: \\ $$$${what}\:{is}\:\frac{{a}}{{b}}\:? \\ $$ Answered by jagoll last updated on 04/Jan/20…
Question Number 77204 by mr W last updated on 04/Jan/20 $${is}\:{there}\:{a}\:{general}\:{solution}\:{for} \\ $$$${the}\:{equation} \\ $$$$\underset{{n}\:{times}\:{x}} {\boldsymbol{{x}}\left[\boldsymbol{{x}}\left[\boldsymbol{{x}}\left[\boldsymbol{{x}}…\right]\right]\right]}=\boldsymbol{{m}} \\ $$$${with}\:{x}>\mathrm{0},\:{m}>\mathrm{0}. \\ $$ Commented by MJS last updated…
Question Number 142740 by mathdanisur last updated on 04/Jun/21 $$\frac{{a}}{{b}+{c}}\:=\:\frac{{b}}{{a}+{c}}\:=\:\frac{{c}}{{a}+{b}}\:\:;\:\:{a}\centerdot{b}\centerdot{c}\:=\:\mathrm{12} \\ $$$$\left({b}+{c}\right)\centerdot\left({a}+{c}\right)\centerdot\left({a}+{b}\right)\:=\:? \\ $$ Commented by MJS_new last updated on 05/Jun/21 $$\mathrm{I}\:\mathrm{found}\:\mathrm{2}\:\mathrm{possibilities} \\ $$$$\left(\mathrm{1}\right)\:{a}={b}={c}=\sqrt[{\mathrm{3}}]{\mathrm{12}}\:\Rightarrow\:\mathrm{answer}\:\mathrm{is}\:\mathrm{96} \\…
Question Number 11672 by @ANTARES_VY last updated on 29/Mar/17 $$\mathrm{8}\boldsymbol{\mathrm{x}}^{\mathrm{3}} −\mathrm{6}\boldsymbol{\mathrm{x}}+\mathrm{1}=\mathrm{0} \\ $$$$\boldsymbol{\mathrm{Solves}}… \\ $$ Commented by mrW1 last updated on 29/Mar/17 $${see}\:{general}\:{solution}: \\ $$…
Question Number 11661 by @ANTARES_VY last updated on 29/Mar/17 $$\mathrm{8}\boldsymbol{\mathrm{x}}^{\mathrm{3}} −\mathrm{6}\boldsymbol{\mathrm{x}}+\mathrm{1}=\mathrm{0}. \\ $$$$\boldsymbol{\mathrm{Solves}}…\:\:\boldsymbol{\mathrm{equation}} \\ $$$$\boldsymbol{\mathrm{x}}_{\mathrm{1}} =?\:\:\:\:\:\boldsymbol{\mathrm{x}}_{\mathrm{2}} =? \\ $$ Answered by Joel576 last updated on…